Explanation Given: Mass of the cylinder, m = 220 kg Radius of the cylinder, r = 5.5 m Initial angular velocity ω 0 = 3.8 rev s = 3.8 × 2 π rad s = 23.86 rad s Final angular velocity, ω = 0 Time to come to rest, t = 16 s Formula used: Torque, τ = I × α Where, Iis the moment of inertia and α is the angular acceleration. First equation of angular motion: ω = ω 0 + α t Where, ω is the final angular speed, ω o is the initial angular speed and t is the time. Moment of inertia, I = 1 2 m r 2 Power output, P = τ × ω w Calculation: The rotating cylinder comes to a stop because of the torque acting on it due to friction. To maintain a uniform angular velocity, the motor needs to provide enough power to counter this frictional torque. The torque exerted by friction on the cylinder is given by, τ = I × α , where Iis the moment of inertia of the cylinder and a is the angular acceleration experienced by the cylinder as it comes to rest. From the relation, ω = ω 0 + α t α = ( ω − ω 0 ) t = 0-23 .86 rad s 16 s = − 1

Physics: Principles with Applications, Books a la Carte Edition & Modified Mastering Physics with Pearson eText -- ValuePack Access Card Package

1st Edition

ISBN: 9780321974990

Author: Douglas C. Giancoli

Publisher: PEARSON

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Chapter 8, Problem 54P

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The power output of the motor required to maintain a steady speed of 3.8 rev/s

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Chapter 8, Problem 53P

Chapter 8, Problem 55P

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Physics: Principles with Applications, Books a la Carte Edition & Modified Mastering Physics with Pearson eText -- ValuePack Access Card Package

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Ch. 8 - Two inclines have the same height but make...Ch. 8 - Two spheres look identical and have the same mass....Ch. 8 - A sphere and a cylinder have the same radius and...Ch. 8 - Prob. 13Q Ch. 8 - Prob. 14Q Ch. 8 - 15. Can the diver of Fig. 8-28 do a somersault...Ch. 8 - When a motorcyclist leaves the ground on a jump...Ch. 8 - Prob. 17Q Ch. 8 - 18. The angular velocity of a wheel rotating on a...Ch. 8 - 19. In what direction is the Earth's angular...Ch. 8 - 20. ‘On the basis of the law of conservation of...Ch. 8 - Bonnie sits on the outer rim of a merry-go-round,...Ch. 8 - Prob. 2MCQ Ch. 8 - Prob. 3MCQ Ch. 8 - Prob. 4MCQ Ch. 8 - Prob. 5MCQ Ch. 8 - Prob. 6MCQ Ch. 8 - Prob. 7MCQ Ch. 8 - Prob. 8MCQ Ch. 8 - Prob. 9MCQ Ch. 8 - Prob. 10MCQ Ch. 8 - Prob. 11MCQ Ch. 8 - Prob. 12MCQ Ch. 8 - Suppose you are sitting on a rotating stool...Ch. 8 - Express the following angles in radians: (a)...Ch. 8 - The Sun subtends an angle of about 0.5° to us on...Ch. 8 - A laser beam is directed at the Moon, 380,000 km...Ch. 8 - The blades in a blender rotate at a rate of 6500...Ch. 8 - 5. (II) The platter of the hard drive of a...Ch. 8 - Prob. 6P Ch. 8 - (a) A grinding wheel 0.35 m in diameter rotates at...Ch. 8 - Prob. 8P Ch. 8 - Calculate the angular velocity (a) of a clock's...Ch. 8 - Prob. 10P Ch. 8 - What is the linear speed, due to the Earth's...Ch. 8 - Prob. 12P Ch. 8 - How fast (in rpm) must a centrifuge rotate ifa...Ch. 8 - Prob. 14P Ch. 8 - Prob. 15P Ch. 8 - Prob. 16P Ch. 8 - An automobile engine slows down from 3500 rpm to...Ch. 8 - 18. (I) A centrifuge accelerates uniformly from...Ch. 8 - Prob. 19P Ch. 8 - Prob. 20P Ch. 8 - A wheel 31 cm in diameter accelerates uniformly...Ch. 8 - Prob. 22P Ch. 8 - Prob. 23P Ch. 8 - A 52-kg person riding a bike puts all her weight...Ch. 8 - Calculate the net torque about the axle of the...Ch. 8 - A person exerts a horizontal force of 42 N on the...Ch. 8 - Prob. 27P Ch. 8 - The bolts on the cylinder head of an engine...Ch. 8 - Determine the net torque on the 2.0-m-long uniform...Ch. 8 - Determine the moment of inertia of a 10.8-kg...Ch. 8 - 31. (I) Estimate the moment of inertia of a...Ch. 8 - A merry-go-round accelerates from rest to 0.68...Ch. 8 - Prob. 33P Ch. 8 - (II) A grinding wheel is a uniform cylinder with a...Ch. 8 - Prob. 35P Ch. 8 - Prob. 36P Ch. 8 - Prob. 37P Ch. 8 - Prob. 38P Ch. 8 - Prob. 39P Ch. 8 - Prob. 40P Ch. 8 - Prob. 41P Ch. 8 - Prob. 42P Ch. 8 - Prob. 43P Ch. 8 - A centrifuge rotor rotating at 9200 rpm is shut...Ch. 8 - 45. (II) To get a flat, uniform cylindrical...Ch. 8 - 46. (Ill) Two blocks are connected by a light...Ch. 8 - 47 (III) An Atwood machine consists of two masses,...Ch. 8 - A hammer thrower accelerates the hammer (mass...Ch. 8 - 49. (I) An automobile engine develops a torque of...Ch. 8 - A centrifuge rotor has a moment of inertia of 325...Ch. 8 - Prob. 51P Ch. 8 - Prob. 52P Ch. 8 - Prob. 53P Ch. 8 - Prob. 54P Ch. 8 - Prob. 55P Ch. 8 - Prob. 56P Ch. 8 - Prob. 57P Ch. 8 - Prob. 58P Ch. 8 - Prob. 59P Ch. 8 - What is the angular momentum of a 0.270-kg ball...Ch. 8 - (a) What is the angular momentum of a 2.8-kg...Ch. 8 - Prob. 62P Ch. 8 - Prob. 63P Ch. 8 - Prob. 64P Ch. 8 - Prob. 65P Ch. 8 - Prob. 66P Ch. 8 - A person of mass 75 kg stands at the center of a...Ch. 8 - Prob. 68P Ch. 8 - Prob. 69P Ch. 8 - Prob. 70P Ch. 8 - Prob. 71P Ch. 8 - Prob. 72P Ch. 8 - Prob. 73P Ch. 8 - Prob. 74P Ch. 8 - Prob. 75GP Ch. 8 - Prob. 76GP Ch. 8 - Prob. 77GP Ch. 8 - Prob. 78GP Ch. 8 - Prob. 79GP Ch. 8 - Prob. 80GP Ch. 8 - Prob. 81GP Ch. 8 - Figure 8-59 illustrates an H20 molecule The O — H...Ch. 8 - A hollow cylinder (hoop) is rolling on a...Ch. 8 - Prob. 84GP Ch. 8 - Prob. 85GP Ch. 8 - Prob. 86GP Ch. 8 - Prob. 87GP Ch. 8 - Prob. 88GP Ch. 8 - Prob. 89GP Ch. 8 - Prob. 90GP Ch. 8 - A large spool of rope rolls on the ground with the...Ch. 8 - The Moon orbits the Earth such that the same side...Ch. 8 - Prob. 93GP Ch. 8 - Most of our Solar System's mass is contained in...Ch. 8 - Prob. 95GP Ch. 8 - Prob. 96GP

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